Determine the magnitude of the reaction acting at the support. 400 N/m200 N/mTIT||||||-3 m-3 m-

Answered: 400 N/m 200 N/m TIT|||||| -3 m -3 m-

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Determine the magnitude of the reaction acting at the support.

Expert Solution

Step 1

Given:

A simply supported beam carrying a uniformly varying load (UVL).

Magnitude of UVL at support A = 200 N/m

Magnitude of UVL at support B = 400 N/m

Step 2

Divide the given load into a triangle and a rectangle as follows:

The total load of each rectangular and triangular load will be equal to their respective area.

Also, the centroid of the rectangular load will lie at the center of the beam and the centroid of the triangular load will lie at the 1/3^rd length of beam from the maximum end.

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